Tarski's plank problem

Tarski's plank problem

In mathematics, Tarski's plank problem is a question about coverings of convex regions in "n"-dimensional Euclidean space by "planks": regions between two hyperplanes. Tarski asked if the sum of the widths of the planks must be at least the minimum width of the convex region. The question was answered affirmatively by harvs|txt=yes|first=Thøger|last=Bang|year=1950|year2=1951.

References

*citation|id=MR|0038085
last=Bang|first= Thøger
title=On covering by parallel-strips.
journal=Mat. Tidsskr. B.|year= 1950|pages= 49-53
*citation|id=MR|0046672
last=Bang|first= Thøger
title=A solution of the "plank problem"
journal=Proc. Amer. Math. Soc.|volume= 2|year=1951|pages= 990-993
url=http://links.jstor.org/sici?sici=0002-9939%28195112%292%3A6%3C990%3AASOT%22P%3E2.0.CO%3B2-E


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